Solve the equation algebraically. Verify your solution with a graphing utility.7(x + 6) = (7x + 42)

A. {84}
B. {0}
C. all real numbers
D. no solution


Answer: C

Mathematics

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Solve the problem.Find all points on the curve x2y + xy2 = -1024 where the tangent line is vertical, that is, where  = 0.

A. (16, 0) B. (0, -8) C. (16, -8) D. (-16, 8)

Mathematics

Find the percentage of data items in a normal distribution that lie between the given z-scores.z = -2 and z = -0.5

A. 28.57% B. 2.28% C. 30.85% D. 69.15%

Mathematics

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x4 + 12x3 + 31x2 - 12x - 32

A. -8, -4, 1, multiplicity 2; f(x) = (x + 8)(x + 4)(x - 1)2 B. -4, -1, 1, 8; f(x) = (x + 4)(x + 1)(x - 1)(x - 8) C. -1, 1, 4, 8; f(x) = (x + 1)(x - 1)(x - 4)(x - 8) D. -8, -4, -1, 1; f(x) = (x + 8)(x + 4)(x + 1)(x - 1)

Mathematics

Solve the problem.Carla takes a job with a starting salary of $26,000 for the first year with an annual increase of 6% beginning in the second year. What is Carla's salary, to the nearest dollar, in the seventh year?

A. $39,162 B. $36,881 C. $37,395 D. $35,480

Mathematics